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Finding the Third Proportional to 263,997 and 433,390.50

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Solution

The third proportional to 263,997 and 433,390.50 is: 711,475.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,997 : 433,390.50 = 433,390.50 : x
  2. Step 2: Convert to fraction form
    263,997/433,390.50 = 433,390.50/x
  3. Step 3: Cross multiply
    263,997x = 433,390.50 × 433,390.50
  4. Step 4: Simplify right side
    263,997x = 187,827,325,490.25
  5. Step 5: Solve for x
    x = 187,827,325,490.25/263,997
  6. Step 6: Final answer
    x = 711,475.23

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.